Perturbative expansion of the energy of static sources at large orders in four-dimensional SU(3) gauge theory

Abstract

We determine the infinite volume coefficients of the perturbative expansions of the self-energies of static sources in the fundamental and adjoint representations in SU(3) gluodynamics to order α^{20} in the strong coupling parameter α. We use numerical stochastic perturbation theory, where we employ a new second order integrator and twisted boundary conditions. The expansions are obtained in lattice regularization with the Wilson action and two different discretizations of the covariant time derivative within the Polyakov loop. Overall, we obtain four different perturbative series. For all of them the high order coefficients display the factorial growth predicted by the conjectured renormalon picture, based on the operator product expansion. This enables us to determine the normalization constants of the leading infrared renormalons of heavy quark and heavy gluino pole masses and to translate these into the modified minimal subtraction scheme (MS). We also estimate the four-loop β-function coefficient of the lattice scheme.

62 pages, 19 figures. Figures 9 and 10 changed with no visible difference

References in corpus (6)

• High density QCD on a Lefschetz thimble?
• Can stochastic quantization evade the sign problem? -- the relativistic Bose gas at finite chemical potential
• Rationale for UV-filtered clover fermions
• Wilson loops to 20th order numerical stochastic perturbation theory
• Stochastic quantization and the role of time in quantum gravity
• High orders perturbation theory and dual models for Yang-Mills theories

Cited by in corpus (42)

• The QCD Running Coupling
• The Spin Structure of the Nucleon
• A Hybrid Renormalization Scheme for Quasi Light-Front Correlations in Large-Momentum Effective Theory
• Self-Renormalization of Quasi-Light-Front Correlators on the Lattice
• The bottom quark mass from the ${\rm Y}(1S)$ system at NNNLO
• Model-independent determination of the gluon condensate in four-dimensional SU(3) gauge theory
• Lattice QCD Determination of the Bjorken-$x$ Dependence of Parton Distribution Functions at Next-to-next-to-leading Order
• Perturbative expansion of the plaquette to $\mathcal{O}({\alpha }^{35})$ in four-dimensional SU(3) gauge theory
• The MSR Mass and the $\mathcal{O}({\Lambda }_{\mathrm{QCD}})$ Renormalon Sum Rule
• Leading Power Accuracy in Lattice Calculations of Parton Distributions
• Precision Control in Lattice Calculation of $x$-dependent Pion Distribution Amplitude
• Renormalons in integrable field theories
• Superasymptotic and hyperasymptotic approximation to the operator product expansion
• Hyperasymptotic approximation to the top, bottom and charm pole mass
• Running coupling constant from position-space current-current correlation functions in three-flavor lattice QCD
• New renormalons from analytic trans-series
• Reconciling the Contour-Improved and Fixed-Order Approaches for $\tau$ Hadronic Spectral Moments II: Renormalon Norm and Application in ${\alpha }_s$ Determinations
• Lattice computation of the Dirac eigenvalue density in the perturbative regime of QCD
• Pion Valence Quark Distribution at Physical Pion mass of $N_f=2+1+1$ Lattice QCD
• Lattice QCD calculation of the pion distribution amplitude with domain wall fermions at physical pion mass
• Lattice QCD Calculation of $x$-dependent Meson Distribution Amplitudes at Physical Pion Mass with Threshold Logarithm Resummation
• Renormalon cancellation and linear power correction to threshold-like asymptotics of space-like parton correlators
• Large-order NSPT for lattice gauge theories with fermions: the plaquette in massless QCD
• Systematic Improvement of $x$-dependent Unpolarized Nucleon Generalized Parton Distribution in Lattice-QCD Calculation
• Lightcone and quasi distribution amplitudes for light octet and decuplet baryons
• Bjorken sum rule with hyperasymptotic precision
• Investigation of New Methods for Numerical Stochastic Perturbation Theory in ${\phi }^4$ Theory
• Hyperasymptotic approximation to the plaquette and determination of the gluon condensate
• Universal Renormalons in Principal Chiral Models
• Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles
• Numerical stochastic perturbation theory applied to the twisted Eguchi-Kawai model
• Phenomenology of renormalons and the OPE from lattice regularization: the gluon condensate and the heavy quark pole mass
• Resummation for Lattice QCD Calculation of Generalized Parton Distributions at Nonzero Skewness
• Conformal mappings in perturbative QCD
• Estimate of 4-loop Pole-MSbar Mass Relation from Static QCD Potential
• Perturbative study of large $N$ principal chiral model with twisted reduction
• Renormalons in static QCD potential: review and some updates
• Non perturbative physics from NSPT: renormalons, the gluon condensate and all that
• Theoretical description of the plaquette with exponential accuracy
• Renormalon-like factorial enhancements to power expansion/OPE in a super-renormalizable 2D $O(N)$ quartic model
• NSPT estimate of the improvement coefficient $c_A$ to two loops
• Top-mass observables: all-orders behaviour, renormalons and NLO + Parton Shower effects